A146024 - OEIS

%I #3 Mar 30 2012 17:25:33

%S 1,2,-1,5,-2,-1,10,-5,-2,0,20,-10,-5,0,0,36,-20,-10,0,0,1,65,-36,-20,

%T 0,0,2,0,1,1,0,110,-65,-36,0,0,5,0,1,185,-110,-65,0,0,110,0,2,0,300,

%U -185,-110,0,0,20,0,5,0,0

%N Triangle read by rows, A146023 convolved with A010815

%C Row sums = the partition numbers, A000041: (1, 1, 2, 3, 5, 7, 11,...).

%F Triangle read by rows, A146023 * (A010815 * 0^(n-k)); 0<=k<=1.

%F Triangle A146023 has A000712 in every column.

%F (A010815 * 0^(n-k)) = an infinite lower triangular mtrix with A010815 as the right border and the rest zeros.

%F The operation A146023 * (A010815 * 0^(n-k)) convolves sequence A000712 with A010815.

%e First few rows of the triangle =

%e 1;

%e 2, -1;

%e 5, -2, -1;

%e 10, -5, -2, 0;

%e 20, -10, -5, 0, 0;

%e 36, -20, -10, 0, 0, 1;

%e 65, -36, -20, 0, 0, 2, 0;

%e 110, -65, -36, 0, 0, 5, 0, 1;

%e ...

%Y A146023, Cf. A000712, A000041

%K tabl,sign

%O 0,2

%A _Gary W. Adamson_, Oct 26 2008